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Finding the Fourth Proportional to 34,833.20, 52,249.80 and 10,209.20

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Solution

The fourth proportional to 34,833.20, 52,249.80 and 10,209.20 is: 15,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,833.20 : 52,249.80 = 10,209.20 : x
  2. Step 2: Convert to fraction form
    34,833.20/52,249.80 = 10,209.20/x
  3. Step 3: Cross multiply
    34,833.20x = 52,249.80 × 10,209.20
  4. Step 4: Simplify right side
    34,833.20x = 533,428,658.16
  5. Step 5: Solve for x
    x = 533,428,658.16/34,833.20
  6. Step 6: Final answer
    x = 15,313.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.